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Central extension of the reflection equations and an analog of Miki's formula
Journal article   Peer reviewed

Central extension of the reflection equations and an analog of Miki's formula

P. Baseilhac and S. Belliard
Journal of Physics A: Mathematical and Theoretical
2011

Abstract

Two different types of centrally extended quantum reflection algebras are introduced. Realizations in terms of the elements of the central extension of the Yang-Baxter algebra are exhibited. A coaction map is identified. For the special case of $U_q(\hat{sl_2})$, a realization in terms of elements satisfying the Zamolodchikov-Faddeev algebra - a 'boundary' analog of Miki's formula - is also proposed, providing a free field realization of $O_q(\hat{sl_2})$ (q-Onsager) currents.
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